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Finding the Third Proportional to 24,814 and 58,526

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Solution

The third proportional to 24,814 and 58,526 is: 138,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814 : 58,526 = 58,526 : x
  2. Step 2: Convert to fraction form
    24,814/58,526 = 58,526/x
  3. Step 3: Cross multiply
    24,814x = 58,526 × 58,526
  4. Step 4: Simplify right side
    24,814x = 3,425,292,676
  5. Step 5: Solve for x
    x = 3,425,292,676/24,814
  6. Step 6: Final answer
    x = 138,038.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.